Question

11) Find the quotient of 30(cos(-70°) + i sin(-70°)) and 6(cos 20° + i sin 20°). Write the result in rectangular form.

Answer 1

0 - 5i

Explanation:

`\displaystyle (30(\cos(-70^\circ)+i\sin(-70^\circ)))/(6(\cos(20^\circ)+i\sin(20^\circ)))\\\\=5(\cos(-70^\circ-20^\circ)+i\sin(-70^\circ-20^\circ))\\\\=5(\cos(-90^\circ)+i\sin(-90^\circ))\\\\=5(0-i)\\\\=0-5i`